Home / 1,209.19-1,666.87-946.75

Finding the Fourth Proportional to 1,209.19, 1,666.87 and 946.75

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Solution

The fourth proportional to 1,209.19, 1,666.87 and 946.75 is: 1,305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.19 : 1,666.87 = 946.75 : x
  2. Step 2: Convert to fraction form
    1,209.19/1,666.87 = 946.75/x
  3. Step 3: Cross multiply
    1,209.19x = 1,666.87 × 946.75
  4. Step 4: Simplify right side
    1,209.19x = 1,578,109.17
  5. Step 5: Solve for x
    x = 1,578,109.17/1,209.19
  6. Step 6: Final answer
    x = 1,305.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.